Ways to prove quadrilaterals

Parallelogram

-Both pairs of opposite sides are parallel

-Both pairs of opposite sides are congruent

-One pair of opposite sides is both parallel and congruent

-both pairs of opposite angles are congruent

-The diagonals bisect each other.

Rectangle

-Prove one angle is a right angle

-Prove sides are perpendicular

-Prove diagonals are congruent

Rhombus

-Prove one pair of consecutive sides congruent

-Prove diagonals bisect the angles

-Prove Diagonals are perpendicular to each other

Square

-Prove the quadrilateral is a rectangle in which two consecutive sides are congruent

-prove the quadrilateral is a rhombus one of whose angles is a right angle.

Trapezoid

-Prove one pair of opposite sides are parallel

Isosceles Trapezoid

Prove on pair of opposite sides parallel and the other pair congruent